Abstract
There exist interesting and unexplored relations between symplectic geometry and the theory of critical points of holomorphic functions. One of the manifestations of these relations is the Wahl-Neumann theorem, according to which the Euler characteristics of the Floer homology of the boundary of a Milnor fiber of a quasi-homogeneous function of 3 variables is proportional to the signature of the Milnor fiber, provided that the boundary is a homological 3-sphere [1].
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
W. Neumann and J. Wahl, Casson invariant of links of singularities, Comment. Math. Helvetici 65 (1990), pp. 58–78.
V.M. Kharlamov and Ja.M. Eliashberg, On the number of complex points of a real surface in a complex surface, Proceedings of the Leningrad Topology Conference August 1982, Nauka, Leningrad, 1983, pp. 143–148.
A. Douady, Noeux et structures de contact en dimension 3 d’près D. Bennequin, sem. N. Bourbaki, 1982–1983, Exp. 604, pp. 60401–60420
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1995 Birkhäuser Verlag
About this chapter
Cite this chapter
Arnold, V.I. (1995). Some remarks on symplectic monodromy of Milnor fibrations. In: Hofer, H., Taubes, C.H., Weinstein, A., Zehnder, E. (eds) The Floer Memorial Volume. Progress in Mathematics, vol 133. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9217-9_5
Download citation
DOI: https://doi.org/10.1007/978-3-0348-9217-9_5
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9948-2
Online ISBN: 978-3-0348-9217-9
eBook Packages: Springer Book Archive